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Finding the Fourth Proportional to 27,322.02, 40,974.93 and 11,736

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Solution

The fourth proportional to 27,322.02, 40,974.93 and 11,736 is: 17,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,322.02 : 40,974.93 = 11,736 : x
  2. Step 2: Convert to fraction form
    27,322.02/40,974.93 = 11,736/x
  3. Step 3: Cross multiply
    27,322.02x = 40,974.93 × 11,736
  4. Step 4: Simplify right side
    27,322.02x = 480,881,778.48
  5. Step 5: Solve for x
    x = 480,881,778.48/27,322.02
  6. Step 6: Final answer
    x = 17,600.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.